iso·​mor·​phism | \ ˌī-sə-ˈmȯr-ˌfi-zəm How to pronounce isomorphism (audio) \

Definition of isomorphism

1 : the quality or state of being isomorphic: such as
a : similarity in organisms of different ancestry resulting from convergence
b : similarity of crystalline form between chemical compounds
2 : a one-to-one correspondence between two mathematical sets especially : a homomorphism that is one-to-one — compare endomorphism

Examples of isomorphism in a Sentence

Recent Examples on the Web In type theory, the theorem Set A ≅ Set B can be interpreted as a collection, consisting of all the different ways of demonstrating the isomorphism (which in this case is two). Quanta Magazine, "Will Computers Redefine the Roots of Math?," 19 May 2015 There are good reasons to suspect that graph isomorphism is not NP-complete. Quanta Magazine, "Landmark Algorithm Breaks 30-Year Impasse," 14 Dec. 2015

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'isomorphism.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of isomorphism

circa 1828, in the meaning defined at sense 1

History and Etymology for isomorphism

International Scientific Vocabulary

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Time Traveler for isomorphism

Time Traveler

The first known use of isomorphism was circa 1828

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Statistics for isomorphism

Cite this Entry

“Isomorphism.” Dictionary, Merriam-Webster, Accessed 18 May. 2021.

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More Definitions for isomorphism


iso·​mor·​phism | \ ˌi-sə-ˈmȯr-ˌfiz-əm How to pronounce isomorphism (audio) \

Medical Definition of isomorphism

1 : similarity in organisms of different ancestry resulting from evolutionary convergence
2 : similarity of crystalline form between chemical compounds
3 : a correspondence that is held to exist between a mental process (as perception) and physiological processes

Comments on isomorphism

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